TY - JOUR
T1 - A Finite Volume Scheme for Three-Dimensional Diffusion Equations
JO - Communications in Computational Physics
VL - 3
SP - 650
EP - 672
PY - 2018
DA - 2018/04
SN - 18
DO - http://doi.org/10.4208/cicp.140813.230215a
UR - https://global-sci.org/intro/article_detail/cicp/11044.html
KW - 
AB - <p style="text-align: justify;">The extension of diamond scheme for diffusion equation to three dimensions
is presented. The discrete normal flux is constructed by a linear combination of
the directional flux along the line connecting cell-centers and the tangent flux along the
cell-faces. In addition, it treats material discontinuities by a new iterative method. The
stability and first-order convergence of the method are proved on distorted meshes. The
numerical results illustrate that the method appears to be approximate second-order
accuracy for solution.</p>